New results about the centroid of an interval type-2 fuzzy set, including the centroid of a fuzzy granule
New results about the centroid of an interval type-2 fuzzy set, including the centroid of a fuzzy granule
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DOI：
10.1016/j.ins.2006.03.003
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发表时间：
2007-01
期刊：
影响因子：
--
通讯作者：
J. Mendel;Hongwei Wu
中科院分区：
文献类型：
--
作者：
J. Mendel;Hongwei Wu
区间2型模糊集（IT2 FS）的质心提供了这样的FS的不确定性的度量。它的计算在区间二型模糊逻辑系统中有着广泛的应用。在本文中，我们提出的IT2 FS的质心的性质。我们还说明了许多T2模糊颗粒（FG）的一般结果，以发展一些了解FG在其垂直和水平维度的不确定性。目前，T2 FG是唯一的IT2 FS，它是可能的，以获得封闭形式的公式的质心，这些公式是在本文中。
The centroid of an interval type-2 fuzzy set (IT2 FS) provides a measure of the uncertainty of such a FS. Its calculation is very widely used in interval type-2 fuzzy logic systems. In this paper, we present properties about the centroid of an IT2 FS. We also illustrate many of the general results for a T2 fuzzy granule (FG) in order to develop some understanding about the uncertainty of the FG in terms of its vertical and horizontal dimensions. At present, the T2 FG is the only IT2 FS for which it is possible to obtain closed-form formulas for the centroid, and those formulas are in this paper.